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Finding the Third Proportional to 7,238.25 and 15,721.88

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Solution

The third proportional to 7,238.25 and 15,721.88 is: 34,148.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,238.25 : 15,721.88 = 15,721.88 : x
  2. Step 2: Convert to fraction form
    7,238.25/15,721.88 = 15,721.88/x
  3. Step 3: Cross multiply
    7,238.25x = 15,721.88 × 15,721.88
  4. Step 4: Simplify right side
    7,238.25x = 247,177,353.52
  5. Step 5: Solve for x
    x = 247,177,353.52/7,238.25
  6. Step 6: Final answer
    x = 34,148.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.